Hi,
please have a look at the following code:
from sympy import *
X,Y,Z = symbols("\X,\Y,\Z")
Rxy,Rxz, Ry,Ryx,Ryz, Rz,Rzy,Rzz = symbols("\\RXY,\\RXZ, \\RY,\\RYX,\\RYZ,
\\RZ,\\RZY,\\RZZ")
Rzy1,Rzy2 = symbols("\\RZYI,\\RZYII")
dimensionless_DES_list = [X*(1-X - Ryx*Y),
Ry*Y*(1 - Y + Rxy*X + Rzy1*Z - Rzy2*Z*Z),
Rz*Z(-Rzz + Rxz*X + Ryz* Y)]
equilibria = solve( dimensionless_DES_list,(X,Y,Z))
if I execute it I have the following results:
Out[3]:
[{\Y: 0, \X: 0},
{\Y: \RZYI*\Z - \RZYII*\Z**2 + 1, \X: 0},
{\Y: 0, \X: 1},
{\Y: (\RXY + \RZYI*\Z - \RZYII*\Z**2 + 1)/(\RXY*\RYX + 1),
\X: (-\RYX*\RZYI*\Z + \RYX*\RZYII*\Z**2 - \RYX + 1)/(\RXY*\RYX + 1)}]
The System is just solved for the Variables X and Y and NOT for Z. What is
the reason?
I use the following python enviroment.
~$ ipython
Python 2.7.12 |Anaconda 4.2.0 (64-bit)| (default, Jul 2 2016, 17:42:40)
# packages in environment at /home/atille/.anaconda2:
#
sympy 1.0 py27_0
Thank you in advance.
Alex
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